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Finding the Fourth Proportional to 5,197.52, 7,798.88 and 2,424.41

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Solution

The fourth proportional to 5,197.52, 7,798.88 and 2,424.41 is: 3,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197.52 : 7,798.88 = 2,424.41 : x
  2. Step 2: Convert to fraction form
    5,197.52/7,798.88 = 2,424.41/x
  3. Step 3: Cross multiply
    5,197.52x = 7,798.88 × 2,424.41
  4. Step 4: Simplify right side
    5,197.52x = 18,907,649.73
  5. Step 5: Solve for x
    x = 18,907,649.73/5,197.52
  6. Step 6: Final answer
    x = 3,637.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.